Fourier's Law and temperature gradient in a 1D harmonic lattice [PDF]
K. V. ReichHeat flow and thermal profile in a 1D harmonic lattice with coordinate-dependent masses has been calculated in the thermodynamic limit. It is shown in the particular example of a 1D harmonic lattice with linearly increasing masses that in standard Langevin conditions of contact, a temperature gradient can form, and Fourier's law can be obeyed.View original: http://arxiv.org/abs/1302.0478
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